# Top of the Hill

Pro Problems > Physics > Energy and Work > Work## Top of the Hill

## Solution

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### Blasting off from Planet X

An astronaut is in a lander, which is taking off from Planet X. The lander's thrusters do 12,288,000 Joules of work lifting the lander (at a constant speed) to a height of 1000 meters.

If the astronaut had bailed out first, the lander could have risen to a height of 1024 meters doing that same amount of work.

If the lander, with astronaut on board) had done the same amount of work accelerating horizontally, it would have reached a speed of 40What is the acceleration due to gravity on Planet X?

### Lift the Box

How much work is done lifting a 50 kg box to a height of 500 m in 10 seconds, assuming a constant acceleration?

### Planet X Gravity

On Planet X, a car does 405,000 J of work increasing its speed from 15 m/s to 30 m/s on a horizontal surface. It then does 96,000 J of work driving up a 25 meter hill at a constant speed. If an object is dropped from a height of 1000 meters on Planet X, how fast will it be traveling when it reaches the ground? Assume no air resistance on Planet X.